10102200000 has 336 divisors, whose sum is σ = 33930640800. Its totient is φ = 2652160000.

The previous prime is 10102199963. The next prime is 10102200013. The reversal of 10102200000 is 220101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67799926 + ... + 67800074.

It is an arithmetic number, because the mean of its divisors is an integer number (100984050).

Almost surely, 2^10102200000 is an apocalyptic number.

10102200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16965320400).

10102200000 is an abundant number, since it is smaller than the sum of its proper divisors (23828440800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102200000 is an equidigital number, since it uses as much as digits as its factorization.

10102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10102200000 its reverse (220101), we get a palindrome (10102420101).

The spelling of 10102200000 in words is "ten billion, one hundred two million, two hundred thousand".